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Finding the Fourth Proportional to 176,120, 264,218.88 and 65,312

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Solution

The fourth proportional to 176,120, 264,218.88 and 65,312 is: 97,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,120 : 264,218.88 = 65,312 : x
  2. Step 2: Convert to fraction form
    176,120/264,218.88 = 65,312/x
  3. Step 3: Cross multiply
    176,120x = 264,218.88 × 65,312
  4. Step 4: Simplify right side
    176,120x = 17,256,663,490.56
  5. Step 5: Solve for x
    x = 17,256,663,490.56/176,120
  6. Step 6: Final answer
    x = 97,982.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.